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Finding the Third Proportional to 92,056 and 135,062

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Solution

The third proportional to 92,056 and 135,062 is: 198,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,056 : 135,062 = 135,062 : x
  2. Step 2: Convert to fraction form
    92,056/135,062 = 135,062/x
  3. Step 3: Cross multiply
    92,056x = 135,062 × 135,062
  4. Step 4: Simplify right side
    92,056x = 18,241,743,844
  5. Step 5: Solve for x
    x = 18,241,743,844/92,056
  6. Step 6: Final answer
    x = 198,159.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.